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The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

最优化与控制 · 数学 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo

For a collection of homogeneous LTI systems that is interconnected by a protocol, given the network topology and the system model, one may obtain a feedback gain to synchronize the network. However, the model-based methods cannot be applied…

最优化与控制 · 数学 2025-12-09 Yongzhang Li , M. Kanat Camlibel

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

最优化与控制 · 数学 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

This paper gives sufficient conditions for having complete synchronization of oscillators in connected undirected networks. The considered oscillators are not necessarily identical and the synchronization terms can be nonlinear. An…

动力系统 · 数学 2011-10-24 Sébastien Orange , Nathalie Verdière

Synchronization is a crucial phenomenon in many natural and artificial complex network systems. Applications include neuronal networks, formation control and coordination in robotics, and frequency synchronization in electrical power grids.…

系统与控制 · 电气工程与系统科学 2020-03-24 Marco Coraggio , Pietro DeLellis , Mario di Bernardo

This letter investigates the problem of output synchronisation in heterogeneous dynamical networks with nonlinear diffusive couplings in the presence of disturbances on the coupling links. By exploiting relative dissipativity properties…

系统与控制 · 电气工程与系统科学 2026-05-19 Yongkang Su , Joaquin Carrasco , Iñaki Esnaola , Lanlan Su

The paper develops new sufficient conditions for synchronization of a network of $N$ nonlinearly coupled Chua oscillators interconnected via the first state coordinate only. The nonlinear coupling strength is governed by a function residing…

系统与控制 · 计算机科学 2019-04-02 Petro Feketa , Alexander Schaum , Thomas Meurer , Denis Michaelis , Karl-Heinz Ochs

We propose a simple and new unified method to achieve lag, complete and anticipatory synchronizations in coupled nonlinear systems. It can be considered as an alternative to the subsystem and intentional parameter mismatch methods. This…

混沌动力学 · 物理学 2016-04-20 K. Srinivasan , V. K Chandrasekar , R. Gladwin Pradeep , K. Murali , M. Lakshmanan

This paper considers the synchronization problem for networks of coupled nonlinear dynamical systems under switching communication topologies. Two types of nonlinear agent dynamics are considered. The first one is non-expansive dynamics…

系统与控制 · 计算机科学 2015-08-25 Tao Yang , Ziyang Meng , Guodong Shi , Yiguang Hong , Karl Henrik Johansson

Finding the conditions that foster synchronization in networked oscillatory systems is critical to understanding a wide range of biological and mechanical systems. However, the conditions proved in the literature for synchronization in…

系统与控制 · 计算机科学 2018-05-09 Zahra Aminzare , Biswadip Dey , Elizabeth N. Davison , Naomi Ehrich Leonard

This paper considers the cluster synchronization problem of generic linear dynamical systems whose system models are distinct in different clusters. These nonidentical linear models render control design and coupling conditions highly…

系统与控制 · 电气工程与系统科学 2021-11-05 Zhongchang Liu , Wing Shing Wong , Hui Cheng

A basic result in synchronization of linear systems via output coupling is presented. For identical discrete-time linear systems that are detectable from their outputs and neutrally stable, it is shown that a linear output feedback law…

动力系统 · 数学 2008-01-21 S. Emre Tuna

In this paper, we discuss distributive synchronization of complex networks in finite time, with a single nonlinear pinning controller. The results apply to heterogeneous dynamic networks, too. Different from many models, which assume the…

适应与自组织系统 · 物理学 2021-05-25 Tianping Chen , Wenlian Lu , Xiwei lIu

We study synchronization of nonlinear systems that satisfy an incremental passivity property. We consider the case where the control input is subject to a class of disturbances, including constant and sinusoidal disturbances with unknown…

系统与控制 · 计算机科学 2013-12-24 He Bai , S. Yusef Shafi

Complex networks are a successful framework to describe collective behaviour in many applications, but a notable gap remains in the current literature, that of proving asymptotic convergence in networks of piecewise-smooth systems. Indeed,…

系统与控制 · 计算机科学 2020-12-03 Marco Coraggio , Pietro DeLellis , Mario di Bernardo

We consider complete synchronization of identical maps coupled through a general interaction function and in a general network topology where the edges may be directed and may carry both positive and negative weights. We define mixed…

混沌动力学 · 物理学 2009-09-15 Frank Bauer , Fatihcan M. Atay , Juergen Jost

Synchronization of coupled continuous-time linear systems is studied in a general setting. For identical neutrally-stable linear systems that are detectable from their outputs, it is shown that a linear output feedback law exists under…

最优化与控制 · 数学 2008-01-22 S. Emre Tuna

Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is…

适应与自组织系统 · 物理学 2019-02-18 Joseph D. Hart , Yuanzhao Zhang , Rajarshi Roy , Adilson E. Motter

Networks of nonlinear units with time-delayed couplings can synchronize to a common chaotic trajectory. Although the delay time may be very large, the units can synchronize completely without time shift. For networks of coupled Bernoulli…

混沌动力学 · 物理学 2015-03-17 A. Englert , S. Heiligenthal , W. Kinzel , I. Kanter

In this paper, we propose several models, which can realize synchronization of complex networks in finite time effectively. The results apply to heterogeneous dynamic networks, too. The mechanism of finite time convergence is revealed.…

适应与自组织系统 · 物理学 2021-03-03 Wenlian Lu , Xiwei Liu , Tianping Chen
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